Hakop Hakopian's Publications (Full profile)

Paper

  1. Hakop Hakopian, M. Khalaf, On the poisedness of Bojanov-Xu interpolation, J. Approx. Theory 115 . , pp. 11-28, (2005)
  2. Hakop Hakopian, M. Khalaf, On the poisedness of Bojanov-Xu interpolation, II, East J. Approx. 11, pp. 187-220, (2005)
  3. Hakop Hakopian, M. Tonoyan, Partial differential analogs of ordinary differential equations and systems, New York J. Math. 10, . . , pp. 89-116, (2004)
  4. Hakop Hakopian, S. Ismail, On Bojanov-Xu interpolation on conic sections, East J. Approx. 9, pp. 251-267, (2003)
  5. Hakop Hakopian, M. Tonoyan, Polynomial interpolation and a multivariate analog of the fundamental theorem of algebra, East J. Approx. 8, (3), pp. 355-379, (2002)
  6. Hakop Hakopian, S. Ismail, On bivariate interpolation problem, J. Approx. Theory 116, pp. 76-99, (2002)
  7. Hakop Hakopian, Extrema of multivariate polynomials, their gradients and directional derivatives, Constructive Approximation, 17, pp. 515-533, (2001)
  8. Hakop Hakopian, On a class of Hermite interpolation problems, Advances in Comp. Math. 12, pp. 303-309, (2000)
  9. Hakop Hakopian, On the regularity of Hermite multivariate interpolation, J. Approx. Theory 105, pp. 1-18, (2000)
  10. Hakop Hakopian, H. Gevorgian and A. Sahakian, Numerical curves and their applications to algebraic curves, Studia Math. 121, pp. 249-275, (1996)
  11. Hakop Hakopian, H. Gevorgian and A. Sahakian, Bivariate Hermite interpolation and numerical curves, J. Approx. Theory 85, pp. 297-317, (1996)
  12. Hakop Hakopian, H. Gevorgian and A. Sahakian, Multivariate Hermite interpolation, East Journal on Approximations 3, pp. 357-371, (1995)
  13. Hakop Hakopian, H. Gevorgian and A. Sahakian, On the bivariate Hermite interpolation problem, Constructive Approximation, 11, pp. 23-35, (1995)
  14. Hakop Hakopian, A. Sahakian, Multivariate polynomial interpolation to traces on linear manifolds, J. Approx. Theory, 80, pp. 50-75, (1995)
  15. Hakop Hakopian, On a theorem on bivariate homogeneous polynomials, Bull. Acad. Polon. Sci. , Ser. Math. , 42, pp. 129-132, (1994)
  16. Hakop Hakopian, H. Gevorgian and A. Sahakian, On bivariate polynomial interpolation, Mat. Sbornik, 183, (in Russian). , pp. 111-126, (1992)
    Published translation
    Russian Acad. Sci. Sb. Math. 76
    , pp. 211-223
    (1993)
  17. Hakop Hakopian, H. Gevorgian and A. Sahakian, On bivariate Hermite interpolation, Mat. Zametki, 48, (in Russian), pp. 137-139, (1990)
  18. Hakop Hakopian, A. Sahakian, On a class of systems of partial differential equations, Izv. Acad. Nauk Arm. SSR, 24, (in Russian), pp. 93-98, (1989)
  19. Hakop Hakopian, A. Sahakian, On a system of differential equations connected with the polynomial class of a Box spline's shifts, Mat. Zametki, 44, (in Russian). , pp. 705-724, (1988)
    Published translation
    USSR Acad. Sci. Notes Math
  20. Hakop Hakopian, Multivariate interpolation II of Lagrange and Hermite type, Studia Math. 80, pp. 77-88, (1984)
  21. Hakop Hakopian, Multivariate spline functions, B-spline basis and polynomial interpolation II, Studia Math. 79, pp. 91-102, (1984)
  22. Hakop Hakopian, Integral remainder formula of the tensor product interpolation, Bull. Acad. Polon. Sci. , Ser. Math. 31, pp. 267-272, (1983)
  23. Hakop Hakopian, On fundamental polynomials of multivariate interpolation of Lagrange and Hermite type, Bull. Acad. Polon. Sci. , Ser. Math. 31, pp. 137-141, (1983)
  24. Hakop Hakopian, Multivariate spline functions, B-spline basis and polynomial interpolation, SIAM J. Numer. Anal. 19, pp. 510-517, (1982)
  25. Hakop Hakopian, Multivariate divided differences and multivariate interpolation of Lagrange and Hermite type, J. Approx. Theory 34, pp. 286-305, (1982)
  26. Hakop Hakopian, Les differences divisees de plusieurs variables et les interpolation multidimensionnelles de types lagrangian et hermitien, C. R. Acad. Sci. Paris, Ser. I, 291, pp. 453-456, (1981)

Conference Paper

  1. Hakop Hakopian, The multivariate fundamental theorem of algebra, Bezout's theorem and stellensatz, Approximation Theory: A Volume Dedicated to Borislav Bojanov" (D. Dimitrov, G. Nikolov, and R. Uluchev, Ed. ), Marin Drinov Acadmic Publishing House, Sofia, pp. 73-97, (2004)
  2. Hakop Hakopian, A multivariate analog of fundamental theorem of algebra and Hermite interpolation, Constructive Theory of Functions (B. Bojanov, ed. ), Proceedings of the international conference, Varna, 2002, Darba, Sofia, 2003, Zbl 1021. 41004, pp. 1-18, (2002)
  3. Hakop Hakopian, M. Tonoyan, On a multivariate theory, Approximation Theory: A Volume Dedicated to Blagovest Sendov" (B. Bojanov, Ed. ), Darba, Sofia, pp. 212-230, (2002)
  4. Hakop Hakopian, Regularity of Hermite multivariate interpolation, Multivariate approximation: Recent trends and results, ed. W. Haussman, K. Jetter, M. Reimer, Akademie Verlag GmbH, Berlin, pp. 113-121, (1997)
  5. Hakop Hakopian, H. Gevorgian and A. Sahakian, Numerical curves and their applications to algebraic curves, Advanced Topics in Multivariate Approximation, ed. F. Fontanella, K. Jetter and P. -J. Laurent, World Scientific Publishing Co. , pp. 1-14, (1996)
  6. Hakop Hakopian, H. Gevorgian and A. Sahakian, Bivariate Hermite interpolation and numerical curves, Proceedings, Open Problems in Approximation Theory, ed. B. Bojanov, SCT Publishing, Singapore, pp. 85-89, (1993)
  7. Hakop Hakopian, A theorem on the bivariate homogeneous polynomials, Proceedings, Open Problems in Approximation Theory, ed. B. Bojanov, SCT Publishing, Singapore, pp. 90-91, (1993)
  8. Hakop Hakopian, H. Gevorgian and A. Sahakian, On the bivariate Hermite interpolation problem, Arbeitspapiere der GMD, 692, pp. 1-14, (1992)
  9. Hakop Hakopian, Interpolations by polynomials and natural splines on normal lattices, Multivariate Approximation Theory III, ed. W. Schemp, K. Zeller, ISNM 75, Birkhauser Verlag, pp. 218-220, (1985)
  10. Hakop Hakopian, Duality of multivariate polynomial interpolations, Proc. of International Conference on Approx. Theory, Kiev, (in Russian), pp. 8-10, (1983)

Book

  1. Hakop Hakopian, B. Bojanov and A. Sahakian, Spline functions and multivariate interpolations, Kluwer Academic Publishers, Dordrecht/Boston/London, pp. 278, (1993)
  2. Hakop Hakopian, A. Sahakian, Multivariate splines and polynomial interpolation, Uspekhi Math. Nauk, 48, 5(in Russian), (293), pp. 76, (1993)
  3. Hakop Hakopian, B. Bojanov, A. Sahakian, Theory of spline functions, Nauka i Izkustvo, (in Bulgarian), Sofia, pp. 186, (1990)